Answer:
x = 11
y = 43
Step-by-step explanation:
x = small number
y = large number
Set up a system of equations:
y = 10 + 3x
x + y = 54
Solve system by substitution: x + 10 + 3x = 54
4x + 10 = 54
4x = 44
x = 11
x + y = 54
11 + y = 54
y = 54 - 11
y = 43
The equation is y = -2x + 120
Since the numbers are going down there is a negative slope.
Substitute 40 in and you will get 40 as your answer.
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Change to slope-intercept form:</u>
- 2x + 3y = 1470, isolate y
- 3y = -2x + 1470, divide all terms by 3
- y = -2/3x + 490
The slope is -2/3 and y-intercept is 490
<u>Functional notation, change y to f(x)</u>
To graph the line, plot the intercepts and connect with the line.
<u>If the total is $1593 for the next month, the function would be:</u>
<u>Changing to slope-intercept:</u>
The slopes are same, therefore the lines are parallel.
The difference is the y-intercept, it is greater in the next month.
The graphs are attached, with intercepts shown.
Answer:
m=2
Step-by-step explanation:
I calculated it sorry
Answer:
two thirds, because the angles are complementary
Step-by-step explanation:
The cosine of an angle is equal to the sine of its complement.
cos(23°) = 2/3 = sin(67°)